A Unified Timescale from Celestial Dynamics to
Quantum Mechanics:
Evidence in Ancient Metrology and Megalithic
Structures
Ian Beardsley
April 15, 2025
Abstract
We propose that the fundamental challenge of unifying quantum mechanics with
gravity may have been addressed by ancient civilizations through precise astronom-
ical observatories like Stonehenge. By analyzing Earth’s rotational dynamics, we
derive a universal characteristic time of 1 second that simultaneously governs: (1)
Solar System Harmonics via a Planck-like constant ℏ
⊙
= (1 second) · KE
Earth
;
(2) Proton Structure, where the proton radius (r
p
≈ 0.83 × 10
−15
m) emerges
from the same timescale; and (3) Ancient Timekeeping, where Sumerian 24/60
division and the megalithic yard (2.5 MY ≈ 2.07 m) encode this physics. This work
bridges archeoastronomy, quantum gravity, and celestial mechanics.
1 Introduction
The incompatibility of quantum mechanics and general relativity remains physics’ central
unsolved problem. We present evidence that ancient civilizations may have encountered
this duality and encoded its resolution in stone observatories (e.g., Stonehenge) and
base-60 timekeeping. Key discoveries include:
• A 1-second wave solution for Earth-Moon-Sun dynamics, tied to Earth’s rota-
tional angular momentum (L
earth
).
• The proton radius derived from the same timescale, hinting at a fractal symmetry
across scales.
• The megalithic yard (MY) as a geometric proxy for L
earth
/ℏ
⊙
, where 2.5 MY ≈
60
24
(Sumerian time divisions).
2 Theory and Results
2.1 The 1-Second Universal Constant
The solar system’s Planck-like constant, ℏ
⊙
, is defined via Earth’s kinetic energy:
ℏ
⊙
= (1 second) ·
1
2
M
e
v
2
e
≈ 2.83 × 10
33
J · s, (1)
1
where v
e
≈ 30, 290 m/s (Earth’s orbital velocity). This yields:
ℏ
2
⊙
GM
3
m
c
= 1 second (Moon’s mass M
m
). (2)
2.2 Proton Radius and Quantum Gravity
The proton’s radius (r
p
) is determined by equating two 1-second expressions:
r
ϕ ·
πr
p
α
4
Gm
3
p
!
h
3c
≈ 1 second, (3)
1
6α
2
r
4πh
Gc
!
·
r
p
m
p
= 1 second, (4)
where ϕ = 1.618 (golden ratio). Solving gives r
p
≈ 0.83 fm, matching modern mea-
surements.
2.3 Ancient Metrology and Stonehenge
• Sumerian 24/60 Time: Earth’s day divided into 24 hours × 60 minutes × 60
seconds reflects:
L
earth
ℏ
⊙
· 24 = 60. (5)
• Megalithic Yard (MY): At Stonehenge (latitude 51
◦
), Earth’s rotational velocity
(292 m/s) divided by its diameter (110 m) yields:
292 m/s
110 m
(1second) ≈ 2.65 ≈ 2.5 (MY recurrence). (6)
3 Discussion
3.1 Quantum-Celestial Duality
The 1-second timescale unifies:
• Gravity: Solar system dynamics via ℏ
⊙
.
• Quantum: Proton size via ℏ, G, α.
This suggests a holographic principle where ancient observatories mapped Planck-scale
discreteness to celestial motions.
3.2 Megalithic Sites as Computational Devices
Stonehenge’s 2.5 MY intervals may encode:
• Angular Momentum Matching: L
earth
/ℏ
⊙
optimization.
• Resonant Frequencies: 0.4-second (vispala) and 1-second harmonics.
2
4 Conclusions
We propose that:
1. Ancient civilizations discovered a unified timescale (1 second) connecting quan-
tum and gravitational realms.
2. Megalithic structures preserved this knowledge geometrically.
References
[1] Thom, A. (1967). Megalithic Sites in Britain. Oxford.
[2] Penrose, R. (2004). The Road to Reality. Knopf.
[3] CODATA (2018). Fundamental Physical Constants.
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